Butterfly: Difference between revisions

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mention of diagonal symmetry and comparison with teardrop
 
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{{Pattern|name=Butterfly 1|pname=butterfly1|c=8|life105=true|life106=true|plaintext=true|rle=true}}
{{Pattern
'''Butterfly 1''' evolves into the formation of two [[beehive|beehives]] seen below after 33 generations. Compare this with [[teardrop]], where the beehives are five cells closer together.
|name         = Butterfly
|pname       = butterfly
|c           = 8
|bx          = 4
|by          = 4
|symmetry    = D2_x
|discoveryear = 1970 <!-- all heptominoes were at least recognized by 1970, and 2bo$b3o$2o$bo! is a butterfly-->
|rulemin      = B3/S23
|rulemax      = B38/S238
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|isorulemin  = B3-ck/S23
|isorulemax  = B34ci5ejr6ci7e8/S234c5cek6-ak7e8
|synthesis    = 3
|synthesisRLE = true
|plaintext   = true
|rle         = true
}}
{{about|the evolutionary sequence|the oscillator occasionally also referred to as this|By flops}}
'''Butterfly''' is a [[List of common evolutionary sequences|common evolutionary sequence]] evolving into the formation of two [[beehive]]s seen below after 33 generations. Compare this with [[teardrop]], where the beehives are five cells closer together.


==Additional images==
The butterfly can be hassled by [[oscillator]]s; a period-15 example is [[buddleia]].
<gallery>
Image:Butterfly2.png
</gallery>


==External links==
Butterflies are extremely common in diagonal symmetry, even more than the teardrop; this is because the teardrop has a cell along the axis of symmetry, and once a diagonally symmetric pattern loses all cells along that line, no more can be born there, allowing butterflies but not teardrops.
[http://www.argentum.freeserve.co.uk/lex_b.htm#butterfly Butterfly] at the Life Lexicon
 
== Gallery ==
<center><gallery widths="240px">
Butterfly2.png|Generation 33 of butterfly ({{LinkCatagolue|style=brief|xs12_2552zzy7696}})
</gallery></center>
 
== In other rules ==
In [[HighLife]], the butterfly is part of its [[OCA:HighLife/Replicator|replicator]]'s sequence.
 
== See also ==
* [[Butterfly hasslers]]
* [[Legs]]
 
== External links ==
* {{LinkLexicon|lex_b.htm#butterfly}}

Latest revision as of 12:55, 9 June 2025

Butterfly
x = 4, y = 4, rule = B3/S23 o$2o$obo$b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Pattern type Miscellaneous
Number of cells 8
Bounding box 4 × 4
Static symmetry D2_x
Discovered by Unknown
Year of discovery 1970
This article is about the evolutionary sequence. For the oscillator occasionally also referred to as this, see By flops.

Butterfly is a common evolutionary sequence evolving into the formation of two beehives seen below after 33 generations. Compare this with teardrop, where the beehives are five cells closer together.

The butterfly can be hassled by oscillators; a period-15 example is buddleia.

Butterflies are extremely common in diagonal symmetry, even more than the teardrop; this is because the teardrop has a cell along the axis of symmetry, and once a diagonally symmetric pattern loses all cells along that line, no more can be born there, allowing butterflies but not teardrops.

In other rules

In HighLife, the butterfly is part of its replicator's sequence.

See also